Atkin-Lehner |
3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275v |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-2.2685082374671E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -2 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17765105,36824710272] |
[a1,a2,a3,a4,a6] |
j |
-54435155894788402369/19915573003826175 |
j-invariant |
L |
1.1223916667524 |
L(r)(E,1)/r! |
Ω |
0.093532638853082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22425g1 13455i1 |
Quadratic twists by: -3 5 |